Question

a researcher wishes to explore whether the average income of university teachers is significantly higher than the average income of college teachers at 10% significant level. he sampled 21 teachers from each group and calculated the standard deviation from each sampled group. assume that the population variances are unequal. the critical value for the test is:_______.

Answer 1

To test whether the average income of university teachers is significantly higher than the average income of college teachers, a researcher can use a two-sample t-test. The critical value for the test depends on the significance level and is obtained from a t-distribution table or statistical software.

Step-by-step explanation:

o test whether the average income of university teachers is significantly higher than the average income of college teachers, a researcher can use a two-sample t-test. Since the population variances are unequal, they should use Welch's t-test. The critical value for the test can be obtained from a t-distribution table or by using statistical software.

To perform the test, the researcher needs to calculate the test statistic by subtracting the average income of college teachers from the average income of university teachers, dividing it by the standard error of the difference in means, and comparing it to the critical value.

If the test statistic is greater than the critical value, the researcher can conclude that the average income of university teachers is significantly higher than the average income of college teachers at the 10% significance level.